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Finding the Fourth Proportional to 2,087.94, 3,132.26 and 701.41

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Solution

The fourth proportional to 2,087.94, 3,132.26 and 701.41 is: 1,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.94 : 3,132.26 = 701.41 : x
  2. Step 2: Convert to fraction form
    2,087.94/3,132.26 = 701.41/x
  3. Step 3: Cross multiply
    2,087.94x = 3,132.26 × 701.41
  4. Step 4: Simplify right side
    2,087.94x = 2,196,982.83
  5. Step 5: Solve for x
    x = 2,196,982.83/2,087.94
  6. Step 6: Final answer
    x = 1,052.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.